Academic literature on the topic 'Lacunary Arithmetic Statistical Convergence'

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Journal articles on the topic "Lacunary Arithmetic Statistical Convergence"

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Yaying, Taja, and Bipan Hazarika. "Lacunary Arithmetic Statistical Convergence." National Academy Science Letters 43, no. 6 (2020): 547–51. http://dx.doi.org/10.1007/s40009-020-00910-6.

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Huban, Mualla, and Mehmet Gurdal. "On invariant arithmetic statistically convergence via weighted density." Ilirias Journal of Mathematics 9, no. 1 (2021): 23–34. http://dx.doi.org/10.54379/ijm-2021-1-2.

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In this paper, our concern is to introduce the concepts of invariant arithmetic convergence, invariant arithmetic statistically convergence and lacunary invariant arithmetic statistically convergence using weighted density via Orlicz function φe. Finally, we give some relations between lacunary invariant arithmetic statistical φe-convergence and invariant arithmetic statistical φe-convergence via weighted density
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Huban, Mualla, and Mehmet Gurdal. "On invariant arithmetic statistically convergence via weighted density." Ilirias Journal of Mathematics 9, no. 1 (2021): 23–34. http://dx.doi.org/10.54379/ijm-2021-9-2.

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In this paper, our concern is to introduce the concepts of invariant arithmetic convergence, invariant arithmetic statistically convergence and lacunary invariant arithmetic statistically convergence using weighted density via Orlicz function φe. Finally, we give some relations between lacunary invariant arithmetic statistical φe-convergence and invariant arithmetic statistical φe-convergence via weighted density.
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M., M. Karagama, and B. Ladan F. "ON LACUNARY ARITHMETIC STATISTICAL CONTINUITY FOR DOUBLE SEQUENCES." International Journal of Research - Granthaalayah 5, no. 11 (2017): 22–26. https://doi.org/10.5281/zenodo.1065890.

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Fridy, John, and Cihan Orhan. "Lacunary statistical convergence." Pacific Journal of Mathematics 160, no. 1 (1993): 43–51. http://dx.doi.org/10.2140/pjm.1993.160.43.

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Kişi, Ömer. "Lacunary Statistical Convergence in Measure for Double Sequences of Fuzzy Valued Functions." Journal of Mathematics 2021 (March 4, 2021): 1–12. http://dx.doi.org/10.1155/2021/6655630.

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Based on the concept of lacunary statistical convergence of sequences of fuzzy numbers, the lacunary statistical convergence, uniformly lacunary statistical convergence, and equi-lacunary statistical convergence of double sequences of fuzzy-valued functions are defined and investigated in this paper. The relationship among lacunary statistical convergence, uniformly lacunary statistical convergence, equi-lacunary statistical convergence of double sequences of fuzzy-valued functions, and their representations of sequences of α -level cuts are discussed. In addition, we obtain the lacunary stati
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Kişi, Ömer. "On lacunary I-invariant arithmetic convergence." Malaya Journal of Matematik 9, no. 2 (2021): 1–11. http://dx.doi.org/10.26637/mjm0902/001.

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Listán-García, María C., Ömer Kişi, and Mehmet Gürdal. "New Perspectives on Generalised Lacunary Statistical Convergence of Multiset Sequences." Mathematics 13, no. 1 (2025): 164. https://doi.org/10.3390/math13010164.

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This paper explores the concepts of J-lacunary statistical limit points, J-lacunary statistical cluster points, and J-lacunary statistical Cauchy multiset sequences. Building upon previous work in the field, we investigate the relationships between J-lacunary statistical convergence and J*-lacunary statistical convergence in multiset sequences. The findings contribute to a deeper understanding of the convergence behaviour of multiset sequences and provide new insights into the application of ideal convergence in this context.
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Bhardwaj, Vinod K., and Shweta Dhawan. "Density by Moduli and Lacunary Statistical Convergence." Abstract and Applied Analysis 2016 (2016): 1–11. http://dx.doi.org/10.1155/2016/9365037.

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We have introduced and studied a new concept off-lacunary statistical convergence, wherefis an unbounded modulus. It is shown that, under certain conditions on a modulusf, the concepts of lacunary strong convergence with respect to a modulusfandf-lacunary statistical convergence are equivalent on bounded sequences. We further characterize thoseθfor whichSθf=Sf, whereSθfandSfdenote the sets of allf-lacunary statistically convergent sequences andf-statistically convergent sequences, respectively. A general description of inclusion between two arbitrary lacunary methods off-statistical convergenc
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Gökhan, A. "Lacunary Statistical Convergence of Sequences of Real-Valued Functions." Journal of Mathematics 2013 (2013): 1–4. http://dx.doi.org/10.1155/2013/573756.

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We introduce the concepts of the lacunary statistical convergence of sequences of real-valued functions. We also give the relation between this convergence and strongly lacunary and pointwise statistical convergence. Furthermore we introduce the concept of a lacunary statistical Cauchy sequence for functional sequences and prove that it is equivalent to lacunary statistical convergence of sequences of real-valued functions.
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Books on the topic "Lacunary Arithmetic Statistical Convergence"

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Voronin, Evgeniy, Aleksandr Chibunichev, and Yuriy Blohinov. Reliability of solving inverse problems of analytical photogrammetry. INFRA-M Academic Publishing LLC., 2023. http://dx.doi.org/10.12737/2010462.

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The monograph is devoted to computational aspects of photogrammetric reconstruction of narrow-angle bundles of projecting beams that existed during the survey. Methods of improving the conditionality of systems of linear equations, ensuring the convergence of iterative refinement of their roots, increasing the stability of calculations in finite precision machine arithmetic are considered. The main efforts are focused on solving the problem of establishing reliable measurement weights within the framework of the least squares method. The criteria for the reliability of the weights are determin
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Book chapters on the topic "Lacunary Arithmetic Statistical Convergence"

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Savaş, Ekrem. "Double Lacunary Statistical Convergence of Weight $$\nu $$ via Ideal in Topological Groups." In Advances in Intelligent Systems and Computing. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-5411-7_19.

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Savas, Rabia. "On Ideal Lacunary Statistical Convergence of Sequence in Gradual Normed Linear Spaces Order α." In Summability, Fixed Point Theory and Generalized Integrals with Applications. Chapman and Hall/CRC, 2025. https://doi.org/10.1201/9781003596578-4.

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Verma, A. K., and Sudhanshu Kumar. "Lacunary Statistical Convergence of Order $$\alpha $$ for Generalized Difference Sequences and Summability Through Modulus Function." In Springer Proceedings in Mathematics & Statistics. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-1153-0_21.

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Conference papers on the topic "Lacunary Arithmetic Statistical Convergence"

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Sengul, Hacer, Mikail Et, and Huseyin Cakalli. "Lacunary d-statistical convergence and lacunary d-statistical boundedness in metric spaces." In THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5136153.

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Altundaǧ, Selma, and Metin Başarır. "Lacunary statistical convergence in a paranormed space." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756295.

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Altınok, Hıfsı, Mikail Et та Mahmut Işık. "Δim–lacunary statistical convergence of order α". У 6TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2017). Author(s), 2018. http://dx.doi.org/10.1063/1.5020453.

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Sengul, Hacer, Mahmut Isik та Mikail Et. "f–lacunary statistical convergence of order (α, β)". У INTERNATIONAL CONFERENCE “FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS” (FAIA2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5000610.

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Et, Mikail, та Muharrem Karataş. "On lacunary d-statistical convergence of order α". У CURRENT TRENDS IN RENEWABLE AND ALTERNATE ENERGY. Author(s), 2019. http://dx.doi.org/10.1063/1.5095102.

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Savaş, Ekrem. "On lacunary almost statistical convergence and infinite matrix." In SIXTH INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2022). AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0175335.

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Şengül, Hacer, та Zelal Arıca. "Lacunary A–statistical convergence and lacunary strong A–convergence of order α with respect to a modulus". У CURRENT TRENDS IN RENEWABLE AND ALTERNATE ENERGY. Author(s), 2019. http://dx.doi.org/10.1063/1.5095122.

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Connor, Jeff, and Ekrem Savas. "Lacunary statistical and sliding window convergence for measurable functions." In 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013: ICNAAM 2013. AIP, 2013. http://dx.doi.org/10.1063/1.4825610.

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Gidemen, Hatice, and Mikail Et. "On f – lacunary statistical convergence of generalized difference sequences." In 7TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2018). Author(s), 2018. http://dx.doi.org/10.1063/1.5078466.

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Işık, Mahmut, та Kübra Elif Et. "On lacunary statistical convergence of order α in probability". У ADVANCEMENTS IN MATHEMATICAL SCIENCES: Proceedings of the International Conference on Advancements in Mathematical Sciences. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4930471.

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